Abstract
In this paper we consider three-weighted arithmetic and geometric means of positive definite operators constructed by the symmetrization method that appeared in the definition of Ando-Li-Mathias's geometric mean of several positive definite operators and we establish a converse inequality of three-weighed arithmetic-geometric means via Specht ratio.
| Original language | English |
|---|---|
| Pages (from-to) | 519-523 |
| Number of pages | 5 |
| Journal | Mathematical Inequalities and Applications |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2009 |
| Externally published | Yes |
Keywords
- Matrix inequality
- Positive definite matrix
- Specht ratio
- Symmetrization method
- Weighted matrix means
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